Nathan is stocking bathrooms At The hotel Where he works.He has 18 rolls of toilet paper and 9 bars of soap.If he wants all the bathrooms to be stocked identically,With the same combination of supplies and each one and nothing left over,What is the greatest combination of bathrooms Nathan can stock?

Answers

Answer 1

Answer:

9 bathrooms

Step-by-step explanation:

9 is their greatest common factor.

give each bathroom 1 bar of soap and 2 toilet paper rolls

Answer 2

Step-by-step explanation:

Since has 9 bars of some and 18 rolls of paper then he can fully stock nine because there are more rolls then bars


Related Questions

m=-4, passes through the point (5,-3)

Answers

Answer:

y+3=-4(x-5)

Step-by-step explanation:

m=-4

y-(-3)=-4(x-5)

y+3=-4(x-5)

PLEASE HELP QUICKLY!!!!

13. Find the slope of each linear function.
The slope of Graph A is
The slope of Graph B is
The slope of Graph C is
The slope of Graph D is​

Answers

Answer:

A= -4

B= 4

C= 1/4

D= -1/4

Step-by-step explanation:

I see u counted which is good. remember it's rise over run so for a u got up down 4 over 1. that's why the slope would be -4. You figure out the other ones the same way.

Help A.S.A.P please thank you and please :D

Answers

Answer:

Emma was right to say that both packages are close to 2 pounds.

If we round-off the weights of both to the nearest whole number we would get 2 pounds on both. We look at the the difference of both from 2 pounds we get the following:

2.36 - 2.0 = 0.36

2.09 - 2.0 = 0.09

The smaller the difference the closer it is to the base value. So we can say that the closest one is 2.0 pounds is the package that weighs 2.09 pounds.

Solving a word problem using a two-step med
equally
Espaho
Jim wants to rent a boat and spend at most $34. The boat costs $6 per hour, and Jim has a discount coupon for $8 off. What are the possible numbers of hours
Jim could rent the boat?
User for the number of hours.
Write your answer as an inequality solved for t

Answers

Inequality is 6t  ≤ 44 and Jim can rent a boat for 7.33 hrs or less

Solution:

Given that  

Maximum amount Jim can spend to rent a boat = $34

Rental cost of boat for 1 hour = $6

Also Jim has a discount coupon for $8 off.

Need to determine possible number of hours Jim could rent a boat.

Let’s assume possible number of hours Jim could rent a boat be represented by variable "t"

Cost of renting boat for 1 hour = 6

So Cost of renting a boat for t hours = t x renting boat for 1 hour = t x 6 = 6t

Also Maximum amount Jim can spend to rent a boat = $34

As Jim has a discount coupon for $8 off, so Total amount Jim can spend to rent a boat = $ 34 + $ 8 = $ 44

So cost of renting a boat for t hours must be less that of equal to Total amount Jim can spend to rent a boat

=> 6t  ≤ 44

On solving above equality for "t" we get ,

[tex]\begin{array}{l}{t \leq \frac{44}{6}} \\\\ {=>\mathrm{t} \leq 7.3333 \mathrm{hrs}}\end{array}[/tex]

Hence inequality is  6t  ≤ 44 and Jim can rent a boat for 7.33 hrs or less.

help me quick plz and thx

Answers

Answer:

As the first term is 11, and the sequence increases by a common difference of 11, it can be modelled with the equation 11+(n-1)(11) where n is the nth term

Hence the 100th term is 11+ 99(11)= 1100

Drag each graph to show if the system of linear equations it represents will have no
solutions, one solution, or infinitely many solutions.
help please !

Answers

Answer:

The answer in the attached figure

Step-by-step explanation:

we know that

The solution of a system of linear equations is the intersection point both graphs.

If both graphs has one intersection point , then the system has only one solution

If both graphs have no intersection point, (parallel lines) then the system has no solution.

If both graphs are equal, (identical lines) then the system has infinitely solutions.

The answer in the attached figure

point p lies on the directed line segment from A (2,3) to B (8,0) and portions the segment in the ratio 2 to 1
what’s the x coordinate of point p?

Answers

Answer:

The x-coordinate of point P is 6

Step-by-step explanation:

we have

A (2,3) and B (8,0)

we know that

Point P portions the segment AB in the ratio 2 to 1

so

[tex]AP=\frac{2}{3} AB[/tex]

and

[tex]AP_x=\frac{2}{3} AB_x[/tex]

where

AP_x represent the distance between the points A and P in the x-coordinates

AB_x represent the distance between the points A and B in the x-coordinates

[tex]AB_x=8-2=6\ units[/tex]

[tex]AP_x=\frac{2}{3} (6)=4\ units[/tex]

The x-coordinate of P is equal to

[tex]P_x=A_x+AP_x[/tex]

where

A_x represent the x-coordinate of A

substitute the values

[tex]P_x=2+4=6[/tex]

therefore

The x-coordinate of point P is 6

Jeanne is helping her dad with his
stueco business for the summer. Since Jeanne
has studied surface area in school, she does
some estimates for her dad's business,
For the garage at the right, they plan to stucco
the walls. They will not stucco the roof, car door,
side door, or window. The car door measures
5 m by 2.3 m, the side door measures 2.1 m by
0.9 m, and the window measures I m by 0.7 m.
Determine the surface area to be covered with stucco to the nearest square metre,

Answers

Final answer:

The surface area to be covered with stucco is 25.91 square metres.

Explanation:

To find the surface area to be covered with stucco, we need to calculate the area of each wall and subtract the areas of the car door, side door, and window. The garage has four walls, so we will calculate the area of each wall and add them together. The area of each wall is the product of its length and height. Once we have the total area of the walls, we can subtract the areas of the car door, side door, and window to determine the final surface area to be covered with stucco.

Wall 1: 5 m * 2 m = 10 m²

Wall 2: 5 m * 2 m = 10 m²

Wall 3: 5 m * 2 m = 10 m²

Wall 4: 5 m * 2 m = 10 m²

Total area of walls: 10 m² + 10 m² + 10 m² + 10 m² = 40 m²

Area of car door: 5 m * 2.3 m = 11.5 m²

Area of side door: 2.1 m * 0.9 m = 1.89 m²

Area of window: 1 m * 0.7 m = 0.7 m²

Final surface area to be covered with stucco: 40 m² - 11.5 m² - 1.89 m² - 0.7 m² = <<25.91=25.91>>25.91 m² (rounded to the nearest square metre).

Learn more about Calculating surface area here:

https://brainly.com/question/26883871

#SPJ2

9.6.6. The pawn shop business model. On April 9, 2011 The New York Times reported on a pawn shop that opened in an ex-Blockbuster store: The borrowers are given 60 days to pay back the loan, and La Familia charges a 20 percent interest rate per month. (So for a $100 loan, the borrower would need to pay back $140 after 60 days.) a. Explain why 20% interest per month on a $100 loan for two months would actually require repayment of a little more than $140. b. What is the annual interest rate when this business lends money?

Answers

The lends money would be 340
The annual interest rate is 340

I need help for 8 and 9 plz help and thank you

Answers

Answer:

8) 0 + t = t ------- Identity Property of Addition

(2+b) * 0 = 0 ------- Zero Property of Multiplication

9) n * 0 = 0 ------- Zero Property of Multiplication

1m = m --------- Identity Property of Multiplication

Hope this helps

-Amelia

Answer:

8) Identity Property of Addition

9) Zero Property of Multiplication

I have no idea how to do this. My teacher just threw it on us, please help. <3

Answers

Answer:

(25 1/3)/76

15.5/2

Step-by-step explanation:

I'll do the first two for you, and you can use that to do the rest. Essentially, what we have to do is match up the functions so that they have the same numerator/denominator, and use that to figure out the missing part. For the first one, we have to match up 12 and 76. We can do this by obtaining the result of 76/12, which is 6 1/3. To match it up, we can multiply 12 by 6 1/3 or divide 76 by 6 1/3. As we want to match up to 76 because the missing number is on the 76 side, we must multiply both 4 and 12 by 6 1/3, resulting in  our answer being (25 1/3)/76 for the first one. Similarly, for the second one, we can divide 8 by 2 to get 4. Since the missing number is on the 2 side, we divide the 8 side by 4 to get 15.5/2. Good luck, and feel free to ask if you need help!

please help me on this question ​

Answers

Answer:

The correct one is the first one

Answer: The first one

Explanation:


Solve the equation 6 = -9 – 6x for x.

A. -5/2

B. -2/5

C. 2/5

D. 5/2

Answers

Answer:

a. -5/2

Step-by-step explanation:

To solve the equation 6 = -9 - 6x for x, add 9 to both sides, then divide by -6, resulting in x = -2.5 or -5/2.

To solve the equation 6 = -9
- 6x
for x, you first want to isolate the variable x on one side of the equation. Start by adding 9 to both sides to move the constant term from the right side to the left side:

6 + 9 = -9 + 9 - 6x

15 = -6x

Next, divide both sides by -6 to solve for x:

15 / -6 = (-6x) / -6

x = -15 / 6

When you simplify -15 / 6, you get:

x = -2.5 which is the same as -5/2

Therefore, the solution to the equation is x = -5/2.

A jet travels 550 miles in 5 hours.At this rate, how far could the jet fly in 14 hours? What is the rate of speed of the jet?

Answers

Answer:

The jet travels 1,540 miles in 14 hours going at about 110 mph

Answer:

I think its 1540 miles.

Step-by-step explanation:

r=550/5

You get 110.

110 times 14= 1540.

1540 miles!  

Determine whether each relationship represented by the ordered pairs is a function. Explain.. Please answer both problems. 8. (2,2), (3,1), (5,7), (8,0), (9,1)... 9. (0,4), (5,1), (2,8), (6,3), (5,9)​

Answers

Answer:

8.) Not a function

9.) Is a function

Step-by-step explanation:

In order for a set of coordinates to be a function, the y cannot be repeated.

In number 8, there is (3,1) and (9,1)

Not a function

In number 9, each coordinate is unique and doesn't repeat the y.

Is a function

Givem the geometric sequence where à1=2 and the common ratio is 4, what is domain for N

Answers

The domain for N is All integers where n ≥ 1

Solution:

According to statement a1 = 2 and r = 4. This shows that r is greater than 1.

If r is greater than 1 than it includes integers greater than 1 or equal to 1. It does not include all the real numbers because real numbers include negative numbers also.

If starting value is 2, if we put n=0, then we get 2, but if we put a negative value than we would get a number which is not a part of our sequence.

Thus the domain of n is All integers where n greater than or equal to 1

Quadrilateral RSTU has vertices at R(2,-2), S(4, -3), T(4-6), and U(2, - 7). Which of the following statements is true?
A. The diagonals are the same length, which is greater than 5.
B. The diagonals are the same length, which is less than 5.
The length of diagonal RT is greater than that of diagonal US
D. The length of diagonal RT is less than that of diagonal

Answers

Yes I think that it’s D because it makes more sense.

Answer:

The answer is B

Step-by-step explanation:

Edge 2022

Which ordered pair is a solution of the equation? X+7y=17

Answer Choices

A. Only (10,1)
B. Only (-4,3)
C. Both (10,1) and (-4,3)

Answers

Answer:

C. Both (10,1) and (-4,3)

Step-by-step explanation:

The equation is x + 7y = 17

Option A: x = 10, y = 1

Now, putting the value in the equation,

L.H.S.,

x + 7y

= 10 + 7*1

= 10 + 7

= 17

Therefore, L.H.S. = R.H.S.

The equation is correct.

Option B: x = -4, y = 3

Now, putting the value in the equation,

L.H.S.,

x + 7y

= -4 + 7*3

= -4 + 21

= 17

Therefore, L.H.S. = R.H.S.

The equation is also correct with this value.

As the option "A" and Option "B" shows the correct value, the answer is both A and B.

Answer:

C.) Both the answers are true

Step-by-step explanation:

Simply plug it in

(10, 1) = 10 + 7(1) = 17

10 + 7 = 17

17 = 17

So A.) is true, but let's check B.)

-4 + 7(3) = 17

-4 + 21 = 17

17 = 17

B.) is also true

how many times does 18 go into 40

Answers

Answer:

2 times

The drawing will help

It goes in it 2 bcuz u just need to divide

2. Name a combination of coins that is 130% of the value of a dollar.
I need a simple answer

Answers

Answer:

Step-by-step explanation:

5 quarters, 1 nickel  

Answer:

The required combination of coins will be 5 quarters and 1 nickel.

Step-by-step explanation:

The required combination should be such that the resultant will be 130% of 1 dollar or 1.3 dollar.

Now, the value of 1 quarter is $0.25 and the value of 1 nickel is 5 cent or $0.05.

So, the combination of 5 quarters and 1 nickel will be,

[tex]5\times \$0.25+1\times \$ 0.05=\$1.25+\$0.05\\=\$1.30[/tex]

The above value is equal to 130% of a dollar.

Therefore, the required combination of coins will be 5 quarters and 1 nickel.

For more details, refer the link:

https://brainly.com/question/19987826?referrer=searchResults

find the quotient -33.615 and 4.98​

Answers

Answer:

3.75 or 3 [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

just divide

There was a plate of cookies on the table. Amanda was hungry because she hadn't had breakfast, so she
ate half the cookies. Then Beth came along and noticed the cookies. She thought they looked good, so she
ate a third of what was left on the
plate. Christine came by and decided to take a fourth of the remaining cookies with
her to her next class. Then Daniel came dashing up and took a cookie to munch on.
When Eva looked at the plate, she saw that there were two cookies left. She wondered how many cookies
were on the plate to begin with?

Answers

Answer:

10 2/3

Step-by-step explanation:

So in order to figure this out you have to work backwards. First, Daniel came and took a cookie. So when he took 1 there were 3 cookies available. Next Christine took one fourth of the cookies, meaning that the 3 available cookies are the remaining 3/4's. When she got there she took 1. Then Beth came and took 1/3. For it to be 3/3 there has to be 1 and 1/3 more cookies. Now there are 5 and 1/3 cookies. Amanda came and ate half of the cookies meaning that the amount of cookies we have now is the other half that she didnt eat. 5 and 1/3 plus 5 and 1/3 is 10 and 2/3. I hope this is correct.

Doe the math equation y=6x -4 have a negative slope

Answers

Answer:

yes it does have a negative slope

Step-by-step explanation:

Final answer:

The equation y=6x - 4 does not have a negative slope; instead, it has a positive slope because the coefficient of x is positive, indicating that y increases as x increases.

Explanation:

The math equation given is y=6x - 4. To determine whether it has a negative slope or not, we look at the coefficient of x, which in this case is 6. A negative slope indicates that as x increases, y decreases, and vice versa. However, since the coefficient of x here is positive (6), this line has a positive slope, not a negative one. Therefore, it means that as x increases, y also increases, which is characteristic of a positive relationship between x and y.

It is important to note that a line with a negative slope would have a negative coefficient of x. The slope is the number that is multiplying the x variable, and it represents the rate of change of y with respect to x. Graphically, a line with a positive slope, such as this one, will rise as it moves from left to right on a graph.

10x+5y=25 in standard form

Answers

Answer:

10x=20

Step-by-step explanation:

Lkm is equilateral. Solve for x if angle k=9x+24

Answers

Answer:

x = 4

Step-by-step explanation:

Given that the triangle is equilateral then the measure of each angle is 60°

Equate 9x + 24 to 60 and solve for x

9x + 24 = 60 ( subtract 24 from each side )

9x = 36 ( divide both sides by 9 )

x = 4

Seth’s father is thinking of buying his son a six-month pass for $40. With the pass, matinees cost 1.00. If matinees are normally $3.50 each, how many times must Seth attend in order for it to benefit his father to buy the pass?

Answers

Final answer:

Seth must attend matinees at least 16 times for the six-month pass to be financially beneficial to his father.

Explanation:

To determine how many times Seth must attend matinees for the six-month pass to be beneficial economically, we need to calculate the break-even point where the cost of the pass equals the savings from discounted ticket prices. The normal ticket cost for a matinee is $3.50, and with the pass, the cost is reduced to $1.00. Therefore, each time Seth attends a matinee with the pass, he saves $2.50 ($3.50 - $1.00).

Let's denote the number of times Seth needs to attend matinees to benefit from the pass as 'x'. The six-month pass costs $40, So, we need to set up the following equation to find the break-even point: $2.50 × x = $40.

Divide both sides of the equation by $2.50 to solve for 'x':

x = $40 ÷ $2.50

x = 16

Thus, Seth needs to attend matinees at least 16 times to make the purchase of the six-month pass worthwhile for his father.

what output is 4 more than twice the input 3

Answers

Answer:

10

Step-by-step explanation:

4 more than twice the input 3

more indicates addition, twice indicates multiplication

y = output value

x = input value

y=4+2x

y=4+2(3)

y=4+6

y=10

4 more than twice the input 3 is 10

Final answer:

To find the output that is 4 more than twice the input when the input is 3, we calculate 2(3) + 4, which equals 10.

Explanation:

The output that is 4 more than twice the input when the input is 3 can be found using a simple algebraic expression. If we let x represent the input and y the output, the expression can be written as y = 2x + 4. By substituting the input value of 3 into the equation, we have y = 2(3) + 4, which simplifies to y = 6 + 4, and further simplifies to y = 10. Therefore, the output is 10.

Square root of 3.14

Answers

Answer:

Step-by-step explanation:

1.772

1.772 is the square root ^^ there correct.

b/5 -34<-41 what is B

Answers

Answer:

b<-35

Step-by-step explanation:

b/5-34<-41

b/5<-41+34

b/5<-7

b<-7*5

b<-35

Find the x- and y-intercepts for the linear equation.
– 3x + 5y = 15

Answers

Answer:

x-intercept: (-5,0)

y-intercept: (0,3)

Step-by-step explanation:

y-intercept: when x = 0

-3(0) + 5y = 15

5y = 15

y = 3

x-intercept: when y = 0

-3x + 5(0) = 15

-3x = 15

x = -5

Answer:

Step-by-step explanation:

To find the x-intercept of – 3x + 5y = 15, let y = 0 and solve the remaining equation for x:  – 3x + 5(0) = 15

Then -3x = 15, and x = -5.  Thus, the x-intercept is (-5, 0).

to find the y-intercept of – 3x + 5y = 15, set x = 0 and solve the remaining equation for y:  5y = 15, so that y = 3.  The y-intercept is (0, 3).

Other Questions
To help unify the nation after the Revolutionary War, __________ were written to standardize spelling and pronunciation and to instill patriotism and religious beliefs in students. 30 POINTS!!! Calculate the percent increase or decrease between the starting and ending quantities below. Round your answer to one decimal place.1) Start: 3 End: 102) Start: 9 End: 203) Start: 100 End: 85 Clusters of treats that define how people normally react in situations are called? A. Dispositions. B. Fixations. C. Schema What was the main purpose of the Freedman's Bureau?to punish former Confederate officersto help the planter class regain its control over societyto administer loyalty oaths to African Americansto help black and white war refugees Which group is least likely to be concerned about potential long-term sideeffects of genetically modified (GM) food? Let f(x) = - 3x-1, h(x) = - X+3.Find (f o h)(4). A method used by horticulturalists when they rotate the use of fieldsplanting crops on a particular piece of land for a period of time, then letting it go fallow as they move on and begin planting again in a different areais called: A study was conducted to determine if the salaries of elementary school teachers from two neighboring districts were equal. A sample of 15 teachers from each district was randomly selected. Test the claim that the salaries from both districts are equal. Use significance 0.05 and assume that the data are distributed normally. n x s District 1: 15 $28,900 $2,300 District 2: 15 $30,300 $2,100 3A. What is the appropriate set of hypotheses (H0, H1)? 1 2 = 0, 1 2 0 1 2 0, 1 2 = 0 1 2 = 0, 1 2 < 0 1 2 = 0, 1 2 > 0 3B. What is the correct confidence interval? (2475, 325) (2100, 700) (2975, 175) (3125, 325) 3C. Are the salaries of the teachers from the two districts different? Yes. No. Sometimes. Depends on distribution. Please help with this question show work please I need it today thankyou A curve of radius 80 m is banked at 45 deg. Suppose that an ice storm hits, and the curve is effectively frictionless. What is the safe speed with which to take the curve without either sliding up or down? Lemon N' Honey is a juice manufacturing company in the United States. It exports its products to Australia, licenses to China, has a joint ownership venture in France, and owns a subsidiary in Brazil. The firm will most likely need to create a(n) ________ to handle all its worldwide activities.a. export departmentb. international divisionc. value delivery networkd. domestic divisione. domestic market 60% of the work is done in 17 minutes, 40% of the same work, when is done (in minutes)? Choose two characters in The Red Badge of Courage. How are they similar? How are they different? Support your answers with specific details from the story. Just before debuting at Carnegie Hall, a pianist suffered abrupt paralysis of her entire left hand. She has no known medical conditions that are associated with this symptom. This description MOST closely aligns with: What are two other former slaves who helped the abolition movement? SavedEmpareja la palabra o frase que mejor completa la oracin.Question 1 options:__ los dientes despus de comer.Mis aretes son de __.Mi hermana va a __ las uas.Yo __ a las seis de la maana.Patricia no corre lentamente. Corre muy __.Mi abuela va al __ cuando quiere arreglarse el pelo.__ t despus de hacer ejercicio?Mario no est tranquilo. Est __Para secarme el pelo necesito usar __.Una __ es un evento especial1.el secador2.oro3.me cepillo4.pintarse5.saln de belleza6.nervioso7.me despierto8.te duchas9.boda10.rpidamenteInstructionsEscoge la forma correcta de ser o estar.Question 2 (1 point) SavedEl cepillo __ al lado del peine.Question 2 options:a) estb) eresc) esd) EstnQuestion 3 (1 point) El concurso __ en el gimnasio.Question 3 options:a) estnb) esc) soyd) estQuestion 4 (1 point) Leonardo y yo __ tristes hoy.Question 4 options:a) somosb) esc) estamosd) estoyQuestion 5 (1 point) Nuestros tos __ doctores.Question 5 options:a) somosb) sonc) estamosd) estnQuestion 6 (1 point) __ t en el centro comercial o en un restaurante?Question 6 options:a) estsb) esc) eresd) Estn InstructionsEscribe la forma correcta de ser o estar en el espacio. Necisitas usar en algunas formas de estar!Do not include any extra punctuation or spaces in your answers, and make sure your answers are spelled correctly before submitting this assignment. Answers will be marked incorrect if the accented letter A is not used when needed or used when unnecessary.Copy & paste the accented a if needed: Question 7 (1 point) Question 7 options:Copy & paste the accented a if needed: Reynaldo y Anitaestudiantes. Question 8 (1 point) Question 8 options:Copy & paste the accented a if needed: Antoniotranqulo ahora.Question 9 (1 point) Question 9 options:Copy & paste the accented a if needed: La faldamorada y muy bonita.Question 10 (1 point) Question 10 options:Teresa y Omar en Panam.Question 11 (1 point) Question 11 options:martes, el doce de julio.Copy & paste the accented a if needed: InstructionsNote: Include both the correct reflexive pronoun and conjugated form of the verb in the blank. Do not include any extra spaces or punctuation.Question 12 (2 points) Question 12 options:T el pelo cada mes. (cortarse/acostarse)Question 13 (2 points) Question 13 options:Yo un suter cuando tengo fro. (ponerse/levantarse)Question 14 (2 points) Question 14 options:Rita y Paulina el pelo antes de salir. (arreglarse /ducharse)Question 15 (2 points) Question 15 options:Mis padres y yo tarde los fines de semana. (secarse/levantarse)Question 16 (2 points) Question 16 options:Mi hermano mayor la cara antes de salir con su novia. (afeitarse/despertarse)Question 17 (2 points) Question 17 options:Enrique y yo los dientes despus de comer. (cepillarse/peinarse)Question 18 (2 points) Question 18 options:Yodespus de jugar bsquetbol. (cortarse/ducharse)InstructionsNote: In this section, you will have to attach the reflexive pronoun to the infinitive in your answers! Do not include any extra spaces or punctuation. Be on the lookout for conjugated verbs in front of blanks, as well as prepositions such as para, antes de and despus de that are in front of blanks.Question 19 (2 points) Question 19 options:Yo necesito para ir a mi audicin. (vestirse)Question 20 (2 points) Question 20 options:Mi hermano tiene que hoy. (afeitarse)Question 21 (2 points) Question 21 options:Mis amigos y yo van apara la fiesta. (prepararse)Question 22 (10 points) Esta noche vas a ir a un baile de salsa! Cmo te preparas antes de salir?1) Usando verbos reflexivos, escribe tres oracines que describen que necesitas hacer antes de salir al baile.2)Cules son algunas cosas que necesitas para prepararte? Danielle owes $47.25 for text messaging in the month of June. If her text messaging plan costs $6 for the first 600 messages and 25 for each additional text message.how many text messages did she send that month? A weather station on the top of a mountain reports that the temperature is currently 0C and has been falling at a constant rate of 3C per hour. Find each temperature. Show your work. If it continues to fall at this rate, what will the temperature be:in 2 hours? _______ in 5 hours? _______ in half an hour? _______ The length of a rectangle is 1 units more than the width. The area of the rectangle is 56 units. What is the length, in units, of the rectangle? Unidirectional and continuous carbon fibers with a diameter of 6.5 micron are embedded within an epoxy that offers a yield point of 73 MPa. If the bond strength across the fiber-epoxy interface is 32 MPa, compute the minimum fiber length to guarantee that the fibers are conveying an optimum fraction of force that is applied to the composite. Answer Format: X.XX Unit: mm